Question

A rectangle has a length of x and a width of 5x^3+4-x^2. What is the polynomial that models the perimeter of the rectangle

Answer 1

`L= x`

And the width for this case is:

`W= 5x^3 +4 -x^2`

And we know that the perimeter is given by:

`P= 2L +2W`

And replacing we got:

`P(x) = 2x +2(5x^3 +4 -x^2)= 2x +10x^3 +8 -2x^2`

And symplifying we got:

`P(x)= 10x^3 -2x^2 +2x+8`

Explanation:

For this problem we know that the lenght of the rectangle is given by:

`L= x`

And the width for this case is:

`W= 5x^3 +4 -x^2`

And we know that the perimeter is given by:

`P= 2L +2W`

And replacing we got:

`P(x) = 2x +2(5x^3 +4 -x^2)= 2x +10x^3 +8 -2x^2`

And symplifying we got:

`P(x)= 10x^3 -2x^2 +2x+8`